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"238abfbb77c1915110ad968465608b68e869e0772622c9656714e73e5a1a522f" diff --git a/Cargo.toml b/Cargo.toml new file mode 100644 index 0000000..17b896d --- /dev/null +++ b/Cargo.toml @@ -0,0 +1,13 @@ +[package] +name = "julia-set" +version = "0.1.0" +edition = "2021" + +# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html + +[dependencies] +image = { version = "0.24.6", default_features = false, features = ["png"] } + +# Enable high optimizations for dependencies +[profile.dev.package."*"] +opt-level = 3 diff --git a/rustfmt.toml b/rustfmt.toml new file mode 100644 index 0000000..218e203 --- /dev/null +++ b/rustfmt.toml @@ -0,0 +1 @@ +hard_tabs = true diff --git a/src/main.rs b/src/main.rs new file mode 100644 index 0000000..b9d110f --- /dev/null +++ b/src/main.rs @@ -0,0 +1,65 @@ +use std::time::SystemTime; + +use image::{Rgb, RgbImage}; + +const WIDTH: u32 = 4096; +const HEIGHT: u32 = WIDTH / 2; + +const TOTAL_UNITS_WIDE: f64 = 4.0; + +const MAX_ITER: u32 = 512; +const CX: f64 = -0.98; +const CY: f64 = -0.277; + +const WIDTH_F: f64 = WIDTH as f64; +const HEIGHT_F: f64 = HEIGHT as f64; +const PIXELS_PER_UNIT: f64 = WIDTH_F / TOTAL_UNITS_WIDE; + +fn main() { + let start_time = SystemTime::now(); + + let mut img = RgbImage::new(WIDTH, HEIGHT); + for y in 0..HEIGHT { + for x in 0..WIDTH { + let pixel = fractal(x as f64, y as f64); + img.put_pixel(x, y, pixel); + } + } + println!( + "Generating took {} ms", + start_time.elapsed().unwrap().as_millis() + ); + let start_time = SystemTime::now(); + let filename = format!("julia_set_cx{:.3}_cy{:.3}.png", CX, CY); + img.save(filename).unwrap(); + println!( + "Saving took {} ms", + start_time.elapsed().unwrap().as_millis() + ); +} + +fn fractal(x: f64, y: f64) -> Rgb { + let mut x = (x - WIDTH_F / 2.0) / PIXELS_PER_UNIT; + let mut y = (y - HEIGHT_F / 2.0) / PIXELS_PER_UNIT; + + let mut iterations = 0; + + while (x * x + y * y) < 4.0 { + (x, y) = ( + x * x - y * y + CX, // + 2.0 * x * y + CY, + ); + + iterations += 1; + if iterations == MAX_ITER { + return Rgb([0, 0, 0]); + } + } + + let i = iterations.min(255) as u8; + Rgb([ + i.saturating_mul(4), + i.saturating_mul(8), + i.saturating_mul(12), + ]) +}